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Tutorial sheet (cont’d) 7. State Fortescue’s Theorem and illustrate its principle by means of a simple phasor diagram of an unbalanced three-phase system. (ii) Calculate in polar form the sequence components of unbalanced line- to-neutral voltages given as follows: Cl (ii) Calculate in polar form the phase currents corresponding to the sequence components 9a2 Show transcribed image text Tutorial sheet (cont’d) 7. State Fortescue’s Theorem and illustrate its principle by means of a simple phasor diagram of an unbalanced three-phase system. (ii) Calculate in polar form the sequence components of unbalanced line- to-neutral voltages given as follows: Cl (ii) Calculate in polar form the phase currents corresponding to the sequence components 9a2

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uestion S. Silver Enterprises has acquired All Gold Mining in a merger transaction. Construct the balance she the new corporation if the merger is treated as a purchase for accounting purposes. The market value of Mining’s fixed assets is S5,800; the market vaTuesTor current and other assets are the same as the s. Assume that Silver Enterprises issues $13,800 in new long-term debt to finance the acquisition ing balance sheets represent the premerger book values for both firms: (20 points) Silver Enterprises Current assets $8,600 Current liabilities $5,200 Other assets Net fixed assets 15,800 Equity 1,800 Long-term debt 3,700 17,300 $26,200 Total All Gold Mining Current assets $2,500 Current liabilities $2,300 Total $26,200 Other assets 850 Long-term debt Net fixed assets 5,800 Equity 6,850 $9,150 Total $9150 Total Show transcribed image text uestion S. Silver Enterprises has acquired All Gold Mining in a merger transaction. Construct the balance she the new corporation if the merger is treated as a purchase for accounting purposes. The market value of Mining’s fixed assets is S5,800; the market vaTuesTor current and other assets are the same as the s. Assume that Silver Enterprises issues $13,800 in new long-term debt to finance the acquisition ing balance sheets represent the premerger book values for both firms: (20 points) Silver Enterprises Current assets $8,600 Current liabilities $5,200 Other assets Net fixed assets 15,800 Equity 1,800 Long-term debt 3,700 17,300 $26,200 Total All Gold Mining Current assets $2,500 Current liabilities $2,300 Total $26,200 Other assets 850 Long-term debt Net fixed assets 5,800 Equity 6,850 $9,150 Total $9150 Total

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Two components- 1 mole each of species A and C-are placed in a closed container and maintained at 25°C and 1 bar. Species A decomposes in the gas phase to form species B according to the reaction: 2. A (g) ← -B (g) The following data are available: Δ rxnG(7-298 K)-10.0 kJ/(mol A reacted) Pap(7-298 K) = 3.0 bar r”(7-298 K) = 1.0 bar P(T-298 K) 0.5 bar Assuming that the mixture is ideal, calculate the amount and composition of each phase at equilibrium by doing the following a) Calculate the equilibrium constant, Ka, from the Gibbs energy of reaction and equate to equivalent expression in terms of vapor mole fractions. [2 points] b) Write mole balances for each species as well as overall mole balance for liquid phase. [4 points] c) From mole balances in part b, write expressions for liquid mole fractions for each species and vapor mole fractions for each species. [6 points] d) Write three phase equilibrium equations, one for each species, and plug mole fractions from part c into the expressions. [3 points] e) Plug vapor mole fractions from part c into equilibrium expression from part a. [4 points] Solve system of 4 equations (3 from part d, 1 from part e) and 4 unknowns (number of moles of each species in vapor phase and the molar extent of reaction). [6 points] f) Show transcribed image text Two components- 1 mole each of species A and C-are placed in a closed container and maintained at 25°C and 1 bar. Species A decomposes in the gas phase to form species B according to the reaction: 2. A (g) ← -B (g) The following data are available: Δ rxnG(7-298 K)-10.0 kJ/(mol A reacted) Pap(7-298 K) = 3.0 bar r”(7-298 K) = 1.0 bar P(T-298 K) 0.5 bar Assuming that the mixture is ideal, calculate the amount and composition of each phase at equilibrium by doing the following a) Calculate the equilibrium constant, Ka, from the Gibbs energy of reaction and equate to equivalent expression in terms of vapor mole fractions. [2 points] b) Write mole balances for each species as well as overall mole balance for liquid phase. [4 points] c) From mole balances in part b, write expressions for liquid mole fractions for each species and vapor mole fractions for each species. [6 points] d) Write three phase equilibrium equations, one for each species, and plug mole fractions from part c into the expressions. [3 points] e) Plug vapor mole fractions from part c into equilibrium expression from part a. [4 points] Solve system of 4 equations (3 from part d, 1 from part e) and 4 unknowns (number of moles of each species in vapor phase and the molar extent of reaction). [6 points] f)

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Type solutions of this question in a word processor (e.g. Microsoft word) Translate the following into MATLAB statements and write down the expression which can be used in MATLAB. Part (a)is given as a demo (a) Find the average of three numbers stored in variables x, y and x and store the results in variable avg Solution: avg-(xty+z)/3 Or avg-mean([x y z]) (b) Multiply by 2 to the value of square root of the sum of x, y and z, then store the result in variable g (c) Add 3 to the cube root of average of x and y and store the result in variable n. (d) Convert from degrees Centigrade stored in variable C to degrees Fahreinheit and assign the answer to variable F (e) Calculate the value of Z given that x is in radians and (f) Calculate the value of G, given that G = sin-(x)+23/cos(x) tan(x) – and E, R, w.L and C are variables. Show transcribed image text Type solutions of this question in a word processor (e.g. Microsoft word) Translate the following into MATLAB statements and write down the expression which can be used in MATLAB. Part (a)is given as a demo (a) Find the average of three numbers stored in variables x, y and x and store the results in variable avg Solution: avg-(xty+z)/3 Or avg-mean([x y z]) (b) Multiply by 2 to the value of square root of the sum of x, y and z, then store the result in variable g (c) Add 3 to the cube root of average of x and y and store the result in variable n. (d) Convert from degrees Centigrade stored in variable C to degrees Fahreinheit and assign the answer to variable F (e) Calculate the value of Z given that x is in radians and (f) Calculate the value of G, given that G = sin-(x)+23/cos(x) tan(x) – and E, R, w.L and C are variables.

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A transformer is rated at 890 VA and has a primary voltage of 440 V and a secondary voltage of 180 V. Calculate the efficiency (in %) of the transformer operating at 0.60 rated load when the power factor is 0.75, the rated copper losses are 40 W and the rated iron losses are 12 W. Give your answer in percent. Answer: Show transcribed image text A transformer is rated at 890 VA and has a primary voltage of 440 V and a secondary voltage of 180 V. Calculate the efficiency (in %) of the transformer operating at 0.60 rated load when the power factor is 0.75, the rated copper losses are 40 W and the rated iron losses are 12 W. Give your answer in percent. Answer:

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Teachers in most school districts are paid on a schedule thatprovides a salary based on their number of years of teachingexperience. For example, a beginning teacher in the LexingtonSchool District might be paid $30,000 the first year. For each yearof experience after this first year, up to 10 years, the teacherreceives a 2% increase over the preceding value. Write a programthat displays a salary schedule, in tabular format, for teachers ina school district. The inputs are the starting salary, thepercentage increase, and the number of years in the schedule. Eachrow in the schedule should contain the year number and the salaryfor that year. (Python is needed for this problem)